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Finding the Fourth Proportional to 8,686.75, 11,987.60 and 4,707.83

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Solution

The fourth proportional to 8,686.75, 11,987.60 and 4,707.83 is: 6,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.75 : 11,987.60 = 4,707.83 : x
  2. Step 2: Convert to fraction form
    8,686.75/11,987.60 = 4,707.83/x
  3. Step 3: Cross multiply
    8,686.75x = 11,987.60 × 4,707.83
  4. Step 4: Simplify right side
    8,686.75x = 56,435,499.43
  5. Step 5: Solve for x
    x = 56,435,499.43/8,686.75
  6. Step 6: Final answer
    x = 6,496.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.